期刊文献+

与混合变分不等式有关的不动点映射和正规映射的单调性 被引量:2

Monotonicity of Fixed Point and Normal Mappings Associatied with Mixed Variational Inequalities
在线阅读 下载PDF
导出
摘要 在某种条件下,证明了与混合变分不等式有关的不动点映射和正规映射的单调性及强单调性,也证明了带有扰动的不动点映射和正规映射的强单调性,所得结论推广了已有的一些结果. In this paper, some sufficient conditions for the monotonicity or strong monotonicity of fixed point and normal mappings associated with mixed variational inequalities are given. Moreover some sufficient conditions for the strong monotonicity of perturbed fixed point and normal mappings are also obtained. The results obtained extend and improve some known results in the recent literature.
作者 方长杰
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第6期655-659,共5页 Journal of Sichuan Normal University(Natural Science)
基金 四川省基础数学重点基金资助项目
关键词 混合变分不等式 余强制映射 单调映射 不动点及正规映射 Mixed variational inequalities Cocoercive maps Monotone maps Fixed point and normal maps
  • 相关文献

参考文献7

  • 1丁协平.解非线性混合似变分不等式的预测-校正迭代算法(英文)[J].四川师范大学学报(自然科学版),2003,26(1):1-5. 被引量:30
  • 2方长杰,郑莲,丁协平.解广义混合似变分不等式的预测校正迭代算法[J].四川师范大学学报(自然科学版),2005,28(1):10-14. 被引量:9
  • 3Ravindran G,Gowda M S.Regularization of Po-functions in box variational inequality problem[J].SIAM J Optim,2000,11:748~760.
  • 4Gowda M S,Tawhid M A.Existence and limiting bahavior of trajectories associated with Po equations[J].Comput Optim Appl,1999,12:229~251.
  • 5Sibony M.Méthods itératives pour les équationset inéquations aus derivées partielles nonlinéaries de type monotone[J].Calcolo,1970,7:65~183.
  • 6Gabay D.Applications of the method of multipliers to variational inequalities[A].Fortin M,Glowinski R.Augmented Lagrangian Methods:Application to the Numerical Solution of Boundary-Value Problems[C].North- Holland:Amsterdam,1983.229~332.
  • 7Zhao Y B,Li D.Monotonicity of fixed point and normal mappings associatied with variational inequality and its application[J].SIAM JOptim,2001,11(4):962~973.

二级参考文献22

  • 1Noor M A. A predictor-corrector algorithm for general variational inequalities[J]. Appl Math Lett,2001,14(1) :53 ~ 58.
  • 2Noor M A. Iterative methods for generalized variational inequalities[ J]. Appl Math Lett,2002,15( 1):77 ~ 82.
  • 3Noor M A. Solvability of multivalued general mixed variational inequalities[J]. J Math Anal Appl,2001,261:390 ~ 402.
  • 4Noor M A. Some predictor-corrector algorithms for multivalued variational inequalities[J]. J Optimization Theory and Applications,2001,108(3) :659 ~ 671.
  • 5Ding X P. Predictor-corrector iterative algorithms for solving nonlinear mixed variational-like inequalities[ J]. Applied Mathematics and Computation, 2004,152(3): 855 ~ 865.
  • 6Noor M A. Modified resolvent algorithm for general mixed quasi-variational inequalities[J]. Math-ematical and Computer Modelling,2002,36: 737 ~ 745.
  • 7Aubin J P, Cellina A. Differential Inclusions[M]. New York: Springer-Verlag, 1984.
  • 8Border K C. Fixed Pointed Theorems with Applications to Economics and Game Theory[ M]. Cambridge:Cambridge Univ Press, 1985.
  • 9Noor M A. General algorithm for variational inequalities[J]. J Optim TheoryAppl,1992,73:409~413.
  • 10Noor M A. Auxiliary principle for generalized mixed variational-likeinequalities[J]. J Math Anal Appl,1997,215:75~85.

共引文献36

同被引文献19

引证文献2

二级引证文献12

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部